Finite Group Databasebeta

← Group #11824439

Character table — Group #11824439

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233666666666666662234444666666666661212121212121212444444441212121212121212666666121212121212121212121212224444446666121212121212121222666612121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11-111-1-111-1-111-1-11-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ9111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ10111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ11111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ12111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1
χ13111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-11-1-11111-1-111-1-1-11
χ14111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1111111111-111-1-1-1-111-1-1111-1
χ15111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ16111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-11
χ17222222222-12222-1-1-12-1-12-1-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-12222-1-1-12-1-12-1-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-211111111000000
χ19222222222-12222-1-1-12-1-12-1-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-1111111111111000022-2-20000000000002-2-1-111-1-111000000
χ20222222222-12222-1-1-12-1-12-1-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-11111111111110000-2-222000000000000-2211-1-111-1-1000000
χ21222222222-12222-1-1-12-1-12-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-1111100002222000000000000-2-21111-1-1-1-1000000
χ22222222222-12222-1-1-12-1-12-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-111110000-2-2-2-200000000000022-1-1-1-11111000000
χ23222222222-12222-1-1-12-1-12-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222000000000000000011111111-1-11111-1-1-1-1000022-2-2000000000000-2211-1-1-1-111000000
χ24222222222-12222-1-1-12-1-12-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222000000000000000011111111-1-11111-1-1-1-10000-2-2220000000000002-2-1-11111-1-1000000
χ2522222222-12-1-1-1-1222-122-122-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-122-122-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111111110000000000000000
χ2722222222-12-1-1-1-1222-122-122-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-1-1-1-1-2-2-2-21111111122-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-1222-122-122-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222000011111111-1-1-1-10000000000000000
χ2922222222-12-1-1-1-1222-122-122-1-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-2-2-200001111-1-1-1-111110000000000000000
χ3022222222-12-1-1-1-1222-122-122-1-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-2111122-2-2-1-1-1-1111122220000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-1222-122-122-1-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-211111111-2-21111-2-2221111-1-1-1-1-2-22200001111-1-1-1-1-1-1-1-10000000000000000
χ3222222222-12-1-1-1-1222-122-122-1-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-122-2-20000-1-1-1-1111111110000000000000000
χ33222-22-2-2-22222-2-2222-2-2-22-2-2-2002002i−2i0000222-2-2-2-200002i2i−2i−2i22-2-2000000000000000000002i−2i00002i2i−2i−2i002i−2i0000000022-2-22i2i−2i−2i0000000000000000
χ34222-22-2-2-22222-2-2222-2-2-22-2-2-2002002i−2i0000222-2-2-2-200002i2i−2i−2i-2-222000000000000000000002i−2i00002i2i−2i−2i00−2i2i00000000-2-222−2i−2i2i2i0000000000000000
χ35222-22-2-2-22222-2-2222-2-2-22-2-2-200200−2i2i0000222-2-2-2-20000−2i−2i2i2i22-2-200000000000000000000−2i2i0000−2i−2i2i2i00−2i2i0000000022-2-2−2i−2i2i2i0000000000000000
χ36222-22-2-2-22222-2-2222-2-2-22-2-2-200200−2i2i0000222-2-2-2-20000−2i−2i2i2i-2-22200000000000000000000−2i2i0000−2i−2i2i2i002i−2i00000000-2-2222i2i−2i−2i0000000000000000
χ37222-22-2-2-2-12-1-1112221-2-2-1-2-2100-1002i−2i−i3−i3i3i3-1-1-1111133−3−3−i−iii22-2-200003333−3−3−3−300−i3−i3i3i3002i−2i33−3−3−i−iii002i−2i0000−i3−i3i3i3-1-111−i−iii0000000000000000
χ38222-22-2-2-2-12-1-1112221-2-2-1-2-2100-1002i−2i−i3−i3i3i3-1-1-1111133−3−3−i−iii-2-2220000−3−3−3−3333300−i3−i3i3i3002i−2i33−3−3−i−iii00−2i2i0000i3i3−i3−i311-1-1ii−i−i0000000000000000
χ39222-22-2-2-2-12-1-1112221-2-2-1-2-2100-1002i−2ii3i3−i3−i3-1-1-11111−3−333−i−iii22-2-20000−3−3−3−3333300i3i3−i3−i3002i−2i−3−333−i−iii002i−2i0000i3i3−i3−i3-1-111−i−iii0000000000000000
χ40222-22-2-2-2-12-1-1112221-2-2-1-2-2100-1002i−2ii3i3−i3−i3-1-1-11111−3−333−i−iii-2-22200003333−3−3−3−300i3i3−i3−i3002i−2i−3−333−i−iii00−2i2i0000−i3−i3i3i311-1-1ii−i−i0000000000000000
χ41222-22-2-2-2-12-1-1112221-2-2-1-2-2100-100−2i2i−i3−i3i3i3-1-1-11111−3−333ii−i−i22-2-20000−3−3−3−3333300−i3−i3i3i300−2i2i−3−333ii−i−i00−2i2i0000−i3−i3i3i3-1-111ii−i−i0000000000000000
χ42222-22-2-2-2-12-1-1112221-2-2-1-2-2100-100−2i2i−i3−i3i3i3-1-1-11111−3−333ii−i−i-2-22200003333−3−3−3−300−i3−i3i3i300−2i2i−3−333ii−i−i002i−2i0000i3i3−i3−i311-1-1−i−iii0000000000000000
χ43222-22-2-2-2-12-1-1112221-2-2-1-2-2100-100−2i2ii3i3−i3−i3-1-1-1111133−3−3ii−i−i22-2-200003333−3−3−3−300i3i3−i3−i300−2i2i33−3−3ii−i−i00−2i2i0000i3i3−i3−i3-1-111ii−i−i0000000000000000
χ44222-22-2-2-2-12-1-1112221-2-2-1-2-2100-100−2i2ii3i3−i3−i3-1-1-1111133−3−3ii−i−i-2-2220000−3−3−3−3333300i3i3−i3−i300−2i2i33−3−3ii−i−i002i−2i0000−i3−i3i3i311-1-1−i−iii0000000000000000
χ4522-2-2-222-2222-22-22-2-2-22-2-22-22002000000002-2-22-22-200000000000022-2-222-2-222-2-20000000000000000000000002-2000000000000000000002-22-20000
χ4622-2-2-222-2222-22-22-2-2-22-2-22-22002000000002-2-22-22-200000000000022-2-222-2-222-2-2000000000000000000000000-2200000000000000000000-22-220000
χ4722-2-2-222-2222-22-22-2-2-22-2-22-22002000000002-2-22-22-2000000000000-2-222-2-222-2-2220000000000000000000000002-2000000000000000000002-2-220000
χ4822-2-2-222-2222-22-22-2-2-22-2-22-22002000000002-2-22-22-2000000000000-2-222-2-222-2-222000000000000000000000000-2200000000000000000000-222-20000
χ492-22-2-22-2222-22-22-22-2-22-2-2-22200200000000-22-2-222-20000000000002-22-22-22-22-22-200000000000000000000002-2000000000000000000002-200002-200
χ502-22-2-22-2222-22-22-22-2-22-2-2-22200200000000-22-2-222-20000000000002-22-22-22-22-22-20000000000000000000000-2200000000000000000000-220000-2200
χ512-22-2-22-2222-22-22-22-2-22-2-2-22200200000000-22-2-222-2000000000000-22-22-22-22-22-2200000000000000000000002-2000000000000000000002-20000-2200
χ522-22-2-22-2222-22-22-22-2-22-2-2-22200200000000-22-2-222-2000000000000-22-22-22-22-22-220000000000000000000000-2200000000000000000000-2200002-200
χ532-2-2222-2-222-2-2-2-2-2-222222-2-220022-2000000-2-22-2-2222-22-200002-22-22-2-222-2-222-2-220000002-2002-22-200000000000000002-22-200000000000000000000
χ542-2-2222-2-222-2-2-2-2-2-222222-2-220022-2000000-2-22-2-2222-22-20000-22-22-222-2-222-2-222-20000002-2002-22-20000000000000000-22-2200000000000000000000
χ552-2-2222-2-222-2-2-2-2-2-222222-2-22002-22000000-2-22-2-222-22-2200002-22-2-222-2-222-2-222-2000000-2200-22-2200000000000000002-22-200000000000000000000
χ562-2-2222-2-222-2-2-2-2-2-222222-2-22002-22000000-2-22-2-222-22-220000-22-222-2-222-2-222-2-22000000-2200-22-220000000000000000-22-2200000000000000000000
χ572-2-2222-2-2-121111-2-22-122-1-2-2-100-12-200−i3i3−i3i311-111-1-1-11-11−i3i3−i3i32-22-22-2-22-111-1-111-100−i3i3−i3i32-200-11-11−i3i3−i3i300000000−i3i3−i3i3-11-11−i3i3−i3i30000000000000000
χ582-2-2222-2-2-121111-2-22-122-1-2-2-100-12-200−i3i3−i3i311-111-1-1-11-11−i3i3−i3i3-22-22-222-21-1-111-1-1100−i3i3−i3i32-200-11-11−i3i3−i3i300000000i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
χ592-2-2222-2-2-121111-2-22-122-1-2-2-100-12-200i3−i3i3−i311-111-1-1-11-11i3−i3i3−i32-22-22-2-22-111-1-111-100i3−i3i3−i32-200-11-11i3−i3i3−i300000000i3−i3i3−i3-11-11i3−i3i3−i30000000000000000
χ602-2-2222-2-2-121111-2-22-122-1-2-2-100-12-200i3−i3i3−i311-111-1-1-11-11i3−i3i3−i3-22-22-222-21-1-111-1-1100i3−i3i3−i32-200-11-11i3−i3i3−i300000000−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ612-2-2222-2-2-121111-2-22-122-1-2-2-100-1-2200−i3i3−i3i311-111-1-11-11-1i3−i3i3−i32-22-2-222-21-1-111-1-1100−i3i3−i3i3-22001-11-1i3−i3i3−i300000000−i3i3−i3i3-11-11i3−i3i3−i30000000000000000
χ622-2-2222-2-2-121111-2-22-122-1-2-2-100-1-2200−i3i3−i3i311-111-1-11-11-1i3−i3i3−i3-22-222-2-22-111-1-111-100−i3i3−i3i3-22001-11-1i3−i3i3−i300000000i3−i3i3−i31-11-1−i3i3−i3i30000000000000000
χ632-2-2222-2-2-121111-2-22-122-1-2-2-100-1-2200i3−i3i3−i311-111-1-11-11-1−i3i3−i3i32-22-2-222-21-1-111-1-1100i3−i3i3−i3-22001-11-1−i3i3−i3i300000000i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
χ642-2-2222-2-2-121111-2-22-122-1-2-2-100-1-2200i3−i3i3−i311-111-1-11-11-1−i3i3−i3i3-22-222-2-22-111-1-111-100i3−i3i3−i3-22001-11-1−i3i3−i3i300000000−i3i3−i3i31-11-1i3−i3i3−i30000000000000000
χ652-2-2-22-22222-2-222-2-22-2-2-2222-22-2200002-2-22-2-2222-2-2000000002-2-220000000000002-22-2-220000000000002-20000002-2-222-2-2200000000000000000000
χ662-2-2-22-22222-2-222-2-22-2-2-2222-22-2200002-2-22-2-2222-2-200000000-222-20000000000002-22-2-22000000000000-22000000-222-2-222-200000000000000000000
χ672-2-2-22-22222-2-222-2-22-2-2-2222-2-2220000-222-2-2-2222-2-2000000002-2-22000000000000-22-222-2000000000000-22000000-222-22-2-2200000000000000000000
χ682-2-2-22-22222-2-222-2-22-2-2-2222-2-2220000-222-2-2-2222-2-200000000-222-2000000000000-22-222-20000000000002-20000002-2-22-222-200000000000000000000
χ692-2-2-22-222-1211-1-1-2-221-2-2-12212-2-10000-111-111-1-1-1113−3−333−3−332-2-2200003−3−33−333−32-2-111-100003−3−333−3−332-2000000-111-1-111-13−3−330000000000000000
χ702-2-2-22-222-1211-1-1-2-221-2-2-12212-2-10000-111-111-1-1-1113−3−333−3−33-222-20000−333−33−3−332-2-111-100003−3−333−3−33-220000001-1-111-1-11−333−30000000000000000
χ712-2-2-22-222-1211-1-1-2-221-2-2-12212-2-10000-111-111-1-1-111−333−3−333−32-2-220000−333−33−3−332-2-111-10000−333−3−333−32-2000000-111-1-111-1−333−30000000000000000
χ722-2-2-22-222-1211-1-1-2-221-2-2-12212-2-10000-111-111-1-1-111−333−3−333−3-222-200003−3−33−333−32-2-111-10000−333−3−333−3-220000001-1-111-1-113−3−330000000000000000
χ732-2-2-22-222-1211-1-1-2-221-2-2-1221-22-100001-1-1111-1-1-1113−3−33−333−32-2-2200003−3−33−333−3-221-1-1100003−3−33−333−3-220000001-1-11-111-1−333−30000000000000000
χ742-2-2-22-222-1211-1-1-2-221-2-2-1221-22-100001-1-1111-1-1-1113−3−33−333−3-222-20000−333−33−3−33-221-1-1100003−3−33−333−32-2000000-111-11-1-113−3−330000000000000000
χ752-2-2-22-222-1211-1-1-2-221-2-2-1221-22-100001-1-1111-1-1-111−333−33−3−332-2-220000−333−33−3−33-221-1-110000−333−33−3−33-220000001-1-11-111-13−3−330000000000000000
χ762-2-2-22-222-1211-1-1-2-221-2-2-1221-22-100001-1-1111-1-1-111−333−33−3−33-222-200003−3−33−333−3-221-1-110000−333−33−3−332-2000000-111-11-1-11−333−30000000000000000
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χ1104-4-4444-4-4-2-2222222-2-2-2-2-222-2001-44002i3−2i32i3−2i3-1-11-1-1112-22-2−2i32i3−2i32i3000000000000000000−i3i3−i3i32-200-11-11i3−i3i3−i3000000000000000000000000000000000000
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χ1144-4-4-44-444-2-222-2-222-2222-2-2-224-410000-222-2-1-1111-1-1−232323−23−232323−230000000000000000-221-1-1100003−3−333−3−33000000000000000000000000000000000000
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χ1198-888-8-88-8-4-44-4-444-44-44-44-44400200000000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).